On denseness of nonintegrable Hamiltonian systems close to billiards. (Ukrainian. English summary) Zbl 0971.37030
Summary: A class of Hamiltonian systems, close to billiard systems, is considered. It is proved that nonintegrable Hamiltonian systems in that class make up an everywhere dense subset (an analogue of the famous Siegel theorem).
MSC:
37K05 | Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010) |